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Etudes et évaluation de processus océaniques par des hiérarchies ...

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229<br />

9.3. WHAT DRIVES THE THERMOHALINE CIRCULATION? 55<br />

overturning (q)<br />

1 2 3<br />

forcing (P)<br />

tel-00545911, version 1 - 13 Dec 2010<br />

Figure 9.4: Hysteresis behaviour of the mo<strong>de</strong>l as <strong>de</strong>scribed by eqs. (9.12) and (9.13). The<br />

strength of the overturning circulation (q) is <strong>de</strong>scribed as a function of the precipitation (P)<br />

for a fixed temperature difference (∆T). Stable solutions are sown in red, the unstable solution<br />

in blue. There is one solution in the region 1 and 3. There are two stable solutions and one<br />

unstable solution in region 2.<br />

9.3 What Drives the Thermohaline Circulation?<br />

A key question we have not consi<strong>de</strong>red so far is where does the mechanical energy come from<br />

that drives the thermohaline circulation and transports the heat? A question we did not consi<strong>de</strong>r<br />

when discussing the Stommel-Aarons mo<strong>de</strong>l, which is based on conservation of potential<br />

vorticity. The evaporation takes water from the surface which is then, at a different location,<br />

reintroduced in the ocean, by rain and river runoff. The important point is, however, that<br />

the mass is taken and put back at the ocean surface, that is at the same geopontential height!<br />

Which means that no n<strong>et</strong> potential energy (mgh) is provi<strong>de</strong>d to the ocean as neither mass<br />

nor height is different at evaporation and precipitation points (see fig. 9.3). What about the<br />

mechanical work (dW = −pdV ) done on the ocean by thermal expansion and contraction, that<br />

is change of volume dV . Again, both processes happen at the surface, at the same pressure<br />

p, and again: no n<strong>et</strong> energy is provi<strong>de</strong>d to the ocean by thermal atmospheric forcing. Please<br />

note that the situation is compl<strong>et</strong>ely different for the atmosphere, as shown in fig. 9.3, which<br />

is generally heated at a lower geopotential height, typically at the surface, than at which it is<br />

cooled, by rayonating energy into space, and mechanical work is provi<strong>de</strong>d.<br />

So what drives the THC? Originally it was thought that the forcing comes from the cooled<br />

water pushing the the thermohaline circulation until Sandström, in 1908, asked the question<br />

about the energy balance discussed above. Sandström conclu<strong>de</strong>d that in a fluid heated and<br />

cooled at the surface the fluid below the cold source, should be homogeneous at the cold<br />

temperature and the fluid b<strong>et</strong>ween the cold and warm sources would be stably stratified with<br />

only low fluid velocities. A result that bears the name of Sandström’s Theorem.<br />

Then the i<strong>de</strong>a was put forward, that the diffusion of heat from the surface into the <strong>de</strong>pth<br />

at low latitu<strong>de</strong>s <strong>de</strong>scends the effective heating into the ocean and provi<strong>de</strong>s thus for the missing<br />

energy to drive the THC, which meant that the THC is pulled rather than pushed. Recent<br />

research initiated by Munk & Wunsch in 1998 favors still another i<strong>de</strong>a, which is that the driving<br />

force is the wind. This means that the low to high latitu<strong>de</strong> heat flux of 2 × 10 15 W is a passive<br />

consequence of the wind driven circulation powered by only 2 × 10 12 W, a thousand times less!

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